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Finding the Fourth Proportional to 4,711.52, 7,069.68 and 1,791.68

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Solution

The fourth proportional to 4,711.52, 7,069.68 and 1,791.68 is: 2,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.52 : 7,069.68 = 1,791.68 : x
  2. Step 2: Convert to fraction form
    4,711.52/7,069.68 = 1,791.68/x
  3. Step 3: Cross multiply
    4,711.52x = 7,069.68 × 1,791.68
  4. Step 4: Simplify right side
    4,711.52x = 12,666,604.26
  5. Step 5: Solve for x
    x = 12,666,604.26/4,711.52
  6. Step 6: Final answer
    x = 2,688.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.